33122130200 has 96 divisors (see below), whose sum is σ = 82011670560. Its totient is φ = 12397209600.

The previous prime is 33122130199. The next prime is 33122130211. The reversal of 33122130200 is 203122133.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 560045 + ... + 616355.

It is an arithmetic number, because the mean of its divisors is an integer number (854288235).

Almost surely, 2^33122130200 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33122130200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41005835280).

33122130200 is an abundant number, since it is smaller than the sum of its proper divisors (48889540360).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

33122130200 is a wasteful number, since it uses less digits than its factorization.

33122130200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56517 (or 56508 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 33122130200 its reverse (203122133), we get a palindrome (33325252333).

The spelling of 33122130200 in words is "thirty-three billion, one hundred twenty-two million, one hundred thirty thousand, two hundred".